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31371284780 = 225111013673847
BaseRepresentation
bin11101001101110111…
…111101000100101100
32222222022121101110022
4131031313331010230
51003222022103110
622224535301312
72160260343443
oct351567750454
988868541408
1031371284780
11123392aa640
1260b621a838
132c5c4cb604
141738603d5a
15c391ea755
hex74ddfd12c

31371284780 has 96 divisors (see below), whose sum is σ = 72797018112. Its totient is φ = 11261088000.

The previous prime is 31371284717. The next prime is 31371284801. The reversal of 31371284780 is 8748217313.

It is a super-3 number, since 3×313712847803 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8152817 + ... + 8156663.

It is an arithmetic number, because the mean of its divisors is an integer number (758302272).

Almost surely, 231371284780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31371284780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36398509056).

31371284780 is an abundant number, since it is smaller than the sum of its proper divisors (41425733332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31371284780 is a wasteful number, since it uses less digits than its factorization.

31371284780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 31371284780 in words is "thirty-one billion, three hundred seventy-one million, two hundred eighty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 367 404 505 734 1010 1111 1468 1835 2020 2222 3670 3847 4037 4444 5555 7340 7694 8074 11110 15388 16148 19235 20185 22220 37067 38470 40370 42317 74134 76940 80740 84634 148268 169268 185335 211585 370670 388547 407737 423170 741340 777094 815474 846340 1411849 1554188 1630948 1942735 2038685 2823698 3885470 4077370 4274017 5647396 7059245 7770940 8154740 8548034 14118490 15530339 17096068 21370085 28236980 31060678 42740170 62121356 77651695 85480340 142596749 155303390 285193498 310606780 570386996 712983745 1425967490 1568564239 2851934980 3137128478 6274256956 7842821195 15685642390 31371284780